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Refined open noncommutative Donaldson–Thomas invariants for small crepant resolutions

Refined open noncommutative Donaldson–Thomas invariants for small crepant resolutions

The aim of this paper is to study an analog of non-commutative Donaldson-Thomas theory corresponding to the refined topological vertex for small crepant resolutions of toric Calabi-Yau 3-folds. We define the invariants using dimer models and provide "wall-crossing" formulas. In particular, we get normalized generating functions which are unchanged under …